The SquAd derivation: A Square Additive approach to the turbulent Prandtl number [version 3; peer review: 1 approved, 3 approved with reservations, 1 not approved]
Liquid metals have been chosen as primary coolant of innovative nuclear systems under current development. They present a very high thermal conductivity and hence a very low molecular Prandtl number. This feature challenges the modeling of turbulent thermal flows applying the Reynolds analogy. This...
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| Format: | Article |
| Language: | English |
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F1000 Research Ltd
2023-09-01
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| Series: | Open Research Europe |
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| Online Access: | https://open-research-europe.ec.europa.eu/articles/3-43/v3 |
| _version_ | 1797304908423102464 |
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| author | Vincent Moreau |
| author_facet | Vincent Moreau |
| author_sort | Vincent Moreau |
| collection | DOAJ |
| description | Liquid metals have been chosen as primary coolant of innovative nuclear systems under current development. They present a very high thermal conductivity and hence a very low molecular Prandtl number. This feature challenges the modeling of turbulent thermal flows applying the Reynolds analogy. This paper addresses this challenge. A new formula for the turbulent Prandtl number is derived in terms of local variables available from two-equations turbulence models. The derivation is a direct consequence of the expected square additivity of the molecular and flow parameters defining the effective viscosity and the effective conductivity. The formula does not degenerate and leads to a Kays like formulation if approximated. While constrained by the quality of the turbulent viscosity modeling, it has the potential to improve the numerical simulation of turbulent thermal flows. |
| first_indexed | 2024-03-08T00:17:13Z |
| format | Article |
| id | doaj.art-9369f6be540546ff9f78c1137dcde46f |
| institution | Directory Open Access Journal |
| issn | 2732-5121 |
| language | English |
| last_indexed | 2024-03-08T00:17:13Z |
| publishDate | 2023-09-01 |
| publisher | F1000 Research Ltd |
| record_format | Article |
| series | Open Research Europe |
| spelling | doaj.art-9369f6be540546ff9f78c1137dcde46f2024-02-17T01:00:00ZengF1000 Research LtdOpen Research Europe2732-51212023-09-01317933The SquAd derivation: A Square Additive approach to the turbulent Prandtl number [version 3; peer review: 1 approved, 3 approved with reservations, 1 not approved]Vincent Moreau0https://orcid.org/0000-0002-2409-7148Science and Technology Park, Piscina Manna, CRS4, Pula (Ca), 09050, ItalyLiquid metals have been chosen as primary coolant of innovative nuclear systems under current development. They present a very high thermal conductivity and hence a very low molecular Prandtl number. This feature challenges the modeling of turbulent thermal flows applying the Reynolds analogy. This paper addresses this challenge. A new formula for the turbulent Prandtl number is derived in terms of local variables available from two-equations turbulence models. The derivation is a direct consequence of the expected square additivity of the molecular and flow parameters defining the effective viscosity and the effective conductivity. The formula does not degenerate and leads to a Kays like formulation if approximated. While constrained by the quality of the turbulent viscosity modeling, it has the potential to improve the numerical simulation of turbulent thermal flows.https://open-research-europe.ec.europa.eu/articles/3-43/v3Prandtl Kays CFD turbulence modellingeng |
| spellingShingle | Vincent Moreau The SquAd derivation: A Square Additive approach to the turbulent Prandtl number [version 3; peer review: 1 approved, 3 approved with reservations, 1 not approved] Open Research Europe Prandtl Kays CFD turbulence modelling eng |
| title | The SquAd derivation: A Square Additive approach to the turbulent Prandtl number [version 3; peer review: 1 approved, 3 approved with reservations, 1 not approved] |
| title_full | The SquAd derivation: A Square Additive approach to the turbulent Prandtl number [version 3; peer review: 1 approved, 3 approved with reservations, 1 not approved] |
| title_fullStr | The SquAd derivation: A Square Additive approach to the turbulent Prandtl number [version 3; peer review: 1 approved, 3 approved with reservations, 1 not approved] |
| title_full_unstemmed | The SquAd derivation: A Square Additive approach to the turbulent Prandtl number [version 3; peer review: 1 approved, 3 approved with reservations, 1 not approved] |
| title_short | The SquAd derivation: A Square Additive approach to the turbulent Prandtl number [version 3; peer review: 1 approved, 3 approved with reservations, 1 not approved] |
| title_sort | squad derivation a square additive approach to the turbulent prandtl number version 3 peer review 1 approved 3 approved with reservations 1 not approved |
| topic | Prandtl Kays CFD turbulence modelling eng |
| url | https://open-research-europe.ec.europa.eu/articles/3-43/v3 |
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